Questions are posed below:

a) Find the Taylor series expansion for f(x) = x4 - 1013 - 8, about a = -1, b) A manufacturer wishes to make a container in the form of a closed box with thin sheet metal. The box is in the shape of a cuboid with a rectangular base whose length is twice the width of x metres and has height , h metres. The volume, V of the box is 72 m3 Determine the values of r and h, for which the surface area of the box, A is a minimum value